Y=2x+2 this is the answer hope this helps
Answer:
x = 11
Step-by-step explanation:
(0.3x - 2.1)/3 = 0.4
0.3x - 2.1 = 0.4 * 3
0.3x - 2.1 = 1.2
0.3x = 1.2 + 2.1
0.3x = 3.3
x = 3.3/0.3
x = 11
For the first box on the left hand side, the answer is m < 1 + m < 2 = 180 as they are a linear pair
The first box in the right-hand column is "linear pair postulate" as its very similar to the previous line
The second box on the left-hand side is m < 1 + m < 2 = m < 2 + m < 3. Essentially we're doing replacements. Similar to how x+3 = 10 turns into 7+3 = 10 when we plug in x = 7
The second box on the right-hand side is "subtraction property of equality". We subtract "m < 2" from both sides to end up with m < 1 = m < 3
The correct answer is B) 28.2 m
Formula for V of pyramid is V = 1/3 Bh
B = area of base
h = height
Q1.
8 x 6 = 48
48 = area of base
48 x 5 (height) = 240
240 x 1/3 = 80
80 cm^3
Q2.
8 x 12 would get the area of the base.
the formula says 1/3 Bh, so the base is multiplied by the height (10) and by 1/3.
So if you substitute in the values into the formula, it'll be:
V = 1/3 (12) (8) (10)
Q3.
4 x 6 = 24
base = 24 cm^2
height = 9
1/3 x 24 x 9 = 72
Volume = 72 cm^3
statement 1 is incorrect. The area of the base is actually 24 cm^2
statement 2 is correct.
statement 3 is correct. the volume of the rectangular prism (9 x 4 x 6) is 216cm^3, which is 3 times the volume of the pyramid (72 cm^3).
statement 4 is incorrect. This would require the volume of the pyramid to be 9 times of its own volume.
statement 5 is correct.
statement 6 is incorrect. The volume of the pyramid is 72, not 216.
Q4.
use the balance method to get the answer.
108 / 1/3 = 108 x 3 = 324
324 / 9 (the height) = 36
the base has an area of 36 in^2
Q5.
6 x 4 gets the area of the base
8 is the height
substitute them into the formula:
V = 1/3 (6) (4) (8)
Q6.
8 x 6 = 48
48 = area of base
9 = height
substitute them into the formula:
V = 1/3 (48) (9)
1/3 x 48 x 9 = 144
Volume of this pyramid is 144 in^3
